Wetting front evolution in randomly heterogeneous soils

Alexandre M. Tartakovsky, Shlomo P Neuman, Daniel M. Tartakovsky

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Citations (Scopus)

Abstract

Philip [1975] was the first to investigate the stability of a wetting front in a stratified soil using rigorous hydrodynamic arguments. He based his analysis on the Green and Ampt [1911] model and treated permeability as a known function of depth. We adopt the same model to develop integro-differential equations for leading statistical moments of wetting front propagation in a three-dimensional, randomly heterogeneous soil. We solve these equations analytically for mean front position and mean pressure head gradient in one spatial dimension, to second order in the standard deviation of log conductivity. We do the same for second moments of front positions and pressure head gradient, which serve as measures of predictive uncertainty. To verify the accuracy of our solution, we compare it with the results of numerical Monte Carlo simulations.

Original languageEnglish (US)
Title of host publicationEnvironmental Mechanics
Subtitle of host publicationWater, Mass and Energy Transfer in the Biosphere, 2002
PublisherBlackwell Publishing Ltd
Pages87-94
Number of pages8
Volume129
ISBN (Electronic)9781118668658
ISBN (Print)9780875909882
DOIs
StatePublished - Jan 1 2002

Publication series

NameGeophysical Monograph Series
Volume129
ISSN (Print)0065-8448
ISSN (Electronic)2328-8779

Fingerprint

wetting front
wetting
soils
pressure heads
conductivity
soil
hydrodynamics
permeability
distribution moments
gradients
simulation
standard deviation
differential equations
moments
propagation
analysis

ASJC Scopus subject areas

  • Geophysics

Cite this

Tartakovsky, A. M., Neuman, S. P., & Tartakovsky, D. M. (2002). Wetting front evolution in randomly heterogeneous soils. In Environmental Mechanics: Water, Mass and Energy Transfer in the Biosphere, 2002 (Vol. 129, pp. 87-94). (Geophysical Monograph Series; Vol. 129). Blackwell Publishing Ltd. https://doi.org/10.1029/129GM09

Wetting front evolution in randomly heterogeneous soils. / Tartakovsky, Alexandre M.; Neuman, Shlomo P; Tartakovsky, Daniel M.

Environmental Mechanics: Water, Mass and Energy Transfer in the Biosphere, 2002. Vol. 129 Blackwell Publishing Ltd, 2002. p. 87-94 (Geophysical Monograph Series; Vol. 129).

Research output: Chapter in Book/Report/Conference proceedingChapter

Tartakovsky, AM, Neuman, SP & Tartakovsky, DM 2002, Wetting front evolution in randomly heterogeneous soils. in Environmental Mechanics: Water, Mass and Energy Transfer in the Biosphere, 2002. vol. 129, Geophysical Monograph Series, vol. 129, Blackwell Publishing Ltd, pp. 87-94. https://doi.org/10.1029/129GM09
Tartakovsky AM, Neuman SP, Tartakovsky DM. Wetting front evolution in randomly heterogeneous soils. In Environmental Mechanics: Water, Mass and Energy Transfer in the Biosphere, 2002. Vol. 129. Blackwell Publishing Ltd. 2002. p. 87-94. (Geophysical Monograph Series). https://doi.org/10.1029/129GM09
Tartakovsky, Alexandre M. ; Neuman, Shlomo P ; Tartakovsky, Daniel M. / Wetting front evolution in randomly heterogeneous soils. Environmental Mechanics: Water, Mass and Energy Transfer in the Biosphere, 2002. Vol. 129 Blackwell Publishing Ltd, 2002. pp. 87-94 (Geophysical Monograph Series).
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